Edit Profile (opens in new tab) Avalishvili, Gia Co-Author Distance Author ID: avalishvili.gia Published as: Avalishvili, Gia; Avalishvili, G. Documents Indexed: 49 Publications since 1998 Co-Authors: 9 Co-Authors with 47 Joint Publications 269 Co-Co-Authors all top 5 Co-Authors 2 single-authored 36 Avalishvili, Mariam 23 Gordeziani, David George 3 Miara, Bernadette 3 Müller, Wolfgang H. 1 Antidze, J. 1 Benjeddou, Ayech 1 Bernardi, Christine 1 Borchorishvili, R. 1 Gordeziani, N. 1 Meladze, H. V. 1 Muller, Wofgang H. 1 all top 5 Serials 14 Bulletin of the Georgian National Academy of Sciences. New Series 5 Bulletin of the Georgian Academy of Sciences 3 Georgian Mathematical Journal 3 Bulletin of TICMI 3 Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics 3 Applied Mathematics, Informatics and Mechanics 2 Mathematics and Mechanics of Solids 2 Applied Mathematics and Informatics 1 Computers & Mathematics with Applications 1 Mathematical Methods in the Applied Sciences 1 Hiroshima Mathematical Journal 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Zhurnal Obchyslyuval’noïta Prykladnoï Matematyky 1 Seminar of I. Vekua Institute of Applied Mathematics. Reports 1 Analysis and Applications (Singapore) 1 Complex Variables and Elliptic Equations 1 Georgian International Journal of Science, Technology and Medicine 1 Mathematics and Mechanics of Complex Systems 1 Journal of Function Spaces all top 5 Fields 36 Partial differential equations (35-XX) 26 Mechanics of deformable solids (74-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Numerical analysis (65-XX) 3 Operator theory (47-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 85 times in 63 Documents Cited by ▼ Year ▼ On integral nonlocal boundary value problems for some partial differential equations. Zbl 1227.35015 Avalishvili, Gia; Avalishvili, Mariam; Gordeziani, David 35 2011 On a nonlocal problem with integral boundary conditions for a multidimensional elliptic equation. Zbl 1205.35085 Avalishvili, G.; Avalishvili, M.; Gordeziani, D. 23 2011 Investigation of the nonlocal initial boundary value problems for some hyperbolic equations. Zbl 1008.35037 Gordeziani, David; Avalishvili, Gia 17 2001 On one class of nonlocal in time problems for first-order evolution equations. Zbl 1092.35517 Gordeziani, D.; Meladze, H.; Avalishvili, G. 5 2003 Hierarchical models of elastic shells in curvilinear coordinates. Zbl 1132.74027 Gordeziani, D.; Avalishvili, G.; Avalishvili, M. 4 2006 Nonclassical problems with nonlocal initial conditions for second-order evolution equations. Zbl 1243.35128 Avalishvili, G.; Avalishvili, M.; Miara, B. 4 2012 On nonclassical problems for first-order evolution equations. Zbl 1227.35183 Avalishvili, Gia; Avalishvili, Mariam 4 2011 Non-local boundary value problems for some partial differential equations. Zbl 0922.35041 Gordeziani, D.; Gordeziani, N.; Avalishvili, G. 4 1998 On the investigation of one nonclassical problem for Navier-Stokes equations. Zbl 1062.35062 Gordeziani, D.; Avalishvili, M.; Avalishvili, G. 4 2002 On some nonclassical two-dimensional models for thermoelastic plates with variable thickness. Zbl 1371.74186 Avalishvili, Gia; Avalishvili, Mariam; Gordeziani, David 3 2010 On dynamical hierarchical models of multistructures. Zbl 1310.74024 Avalishvili, Gia; Avalishvili, Mariam 3 2007 On a dynamical hierarchical model for prismatic shells in the theory of elastic mixtures. Zbl 1229.74086 Gordeziani, D.; Avalishvili, G. 3 2005 On approximation of three-dimensional model of thermoelastic piezoelectric plates by two-dimensional problems. Zbl 1431.35197 Avalishvili, Gia; Avalishvili, Mariam 3 2018 Hierarchical modeling of thermoelastic plates with variable thickness. Zbl 1186.74033 Avalishvili, G.; Avalishvili, M.; Gordeziani, D.; Miara, B. 2 2010 Dynamical hierarchical models for elastic shells. Zbl 1187.42024 Gordeziani, D.; Avalishvili, M; Avalishvili, G. 2 2005 On the investigation of one-dimensional models for thermoelastic beams. Zbl 1379.74013 Avalishvili, Gia; Avalishvili, Mariam 2 2009 On hierarchical models of prismatic shells within the framework of the Chandrasekharaiah-Tzou nonclassical theory of thermoelasticity. Zbl 1293.74069 Avalishvili, Gia; Avalishvili, Mariam 2 2013 Nonclassical problem for ultraparabolic equation in abstract spaces. Zbl 1386.35242 Avalishvili, Gia; Avalishvili, Mariam 2 2016 Investigation of the three-dimensional boundary value problem for thermoelastic Piezoelectric solids. Zbl 1401.35067 Avalishvili, Gia; Avalishvili, Mariam; Muller, Wofgang H. 2 2017 An investigation of the Green-Lindsay three-dimensional model. Zbl 1401.74071 Avalishvili, Gia; Avalishvili, Mariam; Müller, Wolfgang H. 2 2018 On the investigation of plurievolution equations in abstract spaces. Zbl 1229.35128 Avalishvili, G.; Gordeziani, D. 1 1999 Nonclassical problem with integral boundary conditions for elliptic system. Zbl 1387.35187 Avalishvili, Gia; Avalishvili, Mariam; Miara, Bernadette 1 2018 On one class of spatial nonlocal problems for some hyperbolic equations. Zbl 0970.35077 Avalishvili, G.; Gordeziani, D. 1 2000 On the investigation of the boundary value problem for nonlinear model in the theory of elastic mixtures. Zbl 1111.74750 Gordeziani, D.; Avalishvili, G. 1 2001 On the investigation of static hierarchic model for elastic rods. Zbl 1083.74032 Gordeziani, D.; Avalishvili, G. 1 2003 Nonclassical problems with nonlocal initial conditions for abstract second-order evolution equations. Zbl 1248.35130 Avalishvili, Gia; Avalishvili, Mariam 1 2011 On approximation of Lord-Shulman model for thermoelastic plates with variable thickness by two-dimensional problems. Zbl 1306.74029 Avalishvili, Gia; Avalishvili, Mariam 1 2014 On the well-posedness of the Green-Lindsay model. Zbl 1366.74013 Avalishvili, Gia; Avalishvili, Mariam; Müller, Wolfgang 1 2017 On the investigation of one-dimensional models of thermo-electro-magneto-elastic bars. Zbl 1455.74054 Avalishvili, Gia; Avalishvili, Mariam 1 2020 On investigation of dynamical three-dimensional model of thermoelastic piezoelectric solids. Zbl 1459.74055 Avalishvili, Gia; Avalishvili, Mariam; Müller, Wolfgang H. 1 2017 On the investigation of one-dimensional models of thermo-electro-magneto-elastic bars. Zbl 1455.74054 Avalishvili, Gia; Avalishvili, Mariam 1 2020 On approximation of three-dimensional model of thermoelastic piezoelectric plates by two-dimensional problems. Zbl 1431.35197 Avalishvili, Gia; Avalishvili, Mariam 3 2018 An investigation of the Green-Lindsay three-dimensional model. Zbl 1401.74071 Avalishvili, Gia; Avalishvili, Mariam; Müller, Wolfgang H. 2 2018 Nonclassical problem with integral boundary conditions for elliptic system. Zbl 1387.35187 Avalishvili, Gia; Avalishvili, Mariam; Miara, Bernadette 1 2018 Investigation of the three-dimensional boundary value problem for thermoelastic Piezoelectric solids. Zbl 1401.35067 Avalishvili, Gia; Avalishvili, Mariam; Muller, Wofgang H. 2 2017 On the well-posedness of the Green-Lindsay model. Zbl 1366.74013 Avalishvili, Gia; Avalishvili, Mariam; Müller, Wolfgang 1 2017 On investigation of dynamical three-dimensional model of thermoelastic piezoelectric solids. Zbl 1459.74055 Avalishvili, Gia; Avalishvili, Mariam; Müller, Wolfgang H. 1 2017 Nonclassical problem for ultraparabolic equation in abstract spaces. Zbl 1386.35242 Avalishvili, Gia; Avalishvili, Mariam 2 2016 On approximation of Lord-Shulman model for thermoelastic plates with variable thickness by two-dimensional problems. Zbl 1306.74029 Avalishvili, Gia; Avalishvili, Mariam 1 2014 On hierarchical models of prismatic shells within the framework of the Chandrasekharaiah-Tzou nonclassical theory of thermoelasticity. Zbl 1293.74069 Avalishvili, Gia; Avalishvili, Mariam 2 2013 Nonclassical problems with nonlocal initial conditions for second-order evolution equations. Zbl 1243.35128 Avalishvili, G.; Avalishvili, M.; Miara, B. 4 2012 On integral nonlocal boundary value problems for some partial differential equations. Zbl 1227.35015 Avalishvili, Gia; Avalishvili, Mariam; Gordeziani, David 35 2011 On a nonlocal problem with integral boundary conditions for a multidimensional elliptic equation. Zbl 1205.35085 Avalishvili, G.; Avalishvili, M.; Gordeziani, D. 23 2011 On nonclassical problems for first-order evolution equations. Zbl 1227.35183 Avalishvili, Gia; Avalishvili, Mariam 4 2011 Nonclassical problems with nonlocal initial conditions for abstract second-order evolution equations. Zbl 1248.35130 Avalishvili, Gia; Avalishvili, Mariam 1 2011 On some nonclassical two-dimensional models for thermoelastic plates with variable thickness. Zbl 1371.74186 Avalishvili, Gia; Avalishvili, Mariam; Gordeziani, David 3 2010 Hierarchical modeling of thermoelastic plates with variable thickness. Zbl 1186.74033 Avalishvili, G.; Avalishvili, M.; Gordeziani, D.; Miara, B. 2 2010 On the investigation of one-dimensional models for thermoelastic beams. Zbl 1379.74013 Avalishvili, Gia; Avalishvili, Mariam 2 2009 On dynamical hierarchical models of multistructures. Zbl 1310.74024 Avalishvili, Gia; Avalishvili, Mariam 3 2007 Hierarchical models of elastic shells in curvilinear coordinates. Zbl 1132.74027 Gordeziani, D.; Avalishvili, G.; Avalishvili, M. 4 2006 On a dynamical hierarchical model for prismatic shells in the theory of elastic mixtures. Zbl 1229.74086 Gordeziani, D.; Avalishvili, G. 3 2005 Dynamical hierarchical models for elastic shells. Zbl 1187.42024 Gordeziani, D.; Avalishvili, M; Avalishvili, G. 2 2005 On one class of nonlocal in time problems for first-order evolution equations. Zbl 1092.35517 Gordeziani, D.; Meladze, H.; Avalishvili, G. 5 2003 On the investigation of static hierarchic model for elastic rods. Zbl 1083.74032 Gordeziani, D.; Avalishvili, G. 1 2003 On the investigation of one nonclassical problem for Navier-Stokes equations. Zbl 1062.35062 Gordeziani, D.; Avalishvili, M.; Avalishvili, G. 4 2002 Investigation of the nonlocal initial boundary value problems for some hyperbolic equations. Zbl 1008.35037 Gordeziani, David; Avalishvili, Gia 17 2001 On the investigation of the boundary value problem for nonlinear model in the theory of elastic mixtures. Zbl 1111.74750 Gordeziani, D.; Avalishvili, G. 1 2001 On one class of spatial nonlocal problems for some hyperbolic equations. Zbl 0970.35077 Avalishvili, G.; Gordeziani, D. 1 2000 On the investigation of plurievolution equations in abstract spaces. Zbl 1229.35128 Avalishvili, G.; Gordeziani, D. 1 1999 Non-local boundary value problems for some partial differential equations. Zbl 0922.35041 Gordeziani, D.; Gordeziani, N.; Avalishvili, G. 4 1998 all cited Publications top 5 cited Publications all top 5 Cited by 77 Authors 7 Avalishvili, Gia 7 Avalishvili, Mariam 5 Kuz’, A. M. 4 Berikelashvili, Givi 4 Kozhanov, Aleksandr Ivanovich 4 Ptashnyk, Bogdan Ĭosypovych 3 Khalil, Hammad 3 Sajavičius, Svajūnas 2 Ashyralyev, Allaberen 2 Băleanu, Dumitru I. 2 Khan, Rahmat Ali 2 Khomeriki, Nodar 2 Kirichek, Vitaliya Aleksandrovna 2 Pul’kina, Lyudmila Stepanovna 2 Savenkova, Alesya Evgen’evna 1 Abdrakhmanov, A. M. 1 Aggez, Necmettin 1 Ahmad, Masood 1 Aziz, Imran 1 Azizbayov, Elvin Ibrahim 1 Babak, Petro Panasovych 1 Bazarra, Noelia 1 Bencheikh, Abdelkrim 1 Benjeddou, Ayech 1 Bogatov, Andreĭ Vladimirovich 1 Borhanifar, Abdollah 1 Chiter, Lakhdar 1 Danilkina, Olga 1 Dosi, Anar Adygezal 1 El-Gendy, M. E. I. 1 El-Sayed, Ahmed Mohamed Ahmed 1 Fernández, Jose Ramon 1 Ghaffari, Abuzar 1 Gordeziani, David George 1 Hashim, Ishak 1 Janjgava, Roman 1 Kazem, Saeed 1 Khan, Waqar Ahmad 1 Kharibegashvili, Sergo 1 Kholikov, Dilshod Kamolovich 1 Klimova, Elena 1 Kuznetsov, Ivan V. 1 Li, Tongxing 1 Lukina, Galina Aleksandrovna 1 Makarov, Volodymyr Leonidovych 1 Martín-Vaquero, Jesús 1 Miara, Bernadette 1 Midodashvili, Bidzina 1 Müller, Wolfgang H. 1 Nguyen Huy Tuan 1 Ntouyas, Sotiris K. 1 O’Regan, Donal 1 Ozdemir, Yildirim 1 Pulkina, Ludmila S. 1 Pulkina, Lyadmila Stepanovna 1 Quintanilla de Latorre, Ramón 1 Rashidi, Mohammad Mehdi 1 Ruzhansky, Michael V. 1 Saker, Samir H. 1 Shaban, Malihe 1 Shahmorad, Sedaghat 1 Shivanian, Elyas 1 Siraj-ul-Islam 1 Skučaite, Agnė 1 Štikonas, Artūras 1 Sun, Zhizhong 1 Takacs, Thomas 1 Tariboon, Jessada 1 Thaiprayoon, Chatthai 1 Tokmagambetov, Niyaz Esenzholovich 1 Torebek, Berikbol Tillabayuly 1 Tri, Vo Viet 1 Vasylyk, Vitaliĭ Borysovych 1 Volkov, Evgeniĭ Alekseevich 1 Vrabie, Ioan I. 1 Wang, Xuping 1 Zikirov, Obidjan Salijanovich all top 5 Cited in 39 Serials 4 Computers & Mathematics with Applications 4 Ukrainian Mathematical Journal 4 Differential Equations 4 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya 3 Lithuanian Mathematical Journal 2 Applicable Analysis 2 Applied Mathematics and Computation 2 Matematychni Metody ta Fizyko-Mekhanichni Polya 2 Mathematics and Mechanics of Solids 2 Bulletin of the Georgian National Academy of Sciences. New Series 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Meccanica 1 Numerical Algorithms 1 Russian Mathematics 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 Integral Transforms and Special Functions 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Mathematical Problems in Engineering 1 Doklady Mathematics 1 Journal of Inequalities and Applications 1 Matematychni Studiï 1 Mathematical Modelling and Analysis 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Boundary Value Problems 1 Complex Variables and Elliptic Equations 1 Journal of Nonlinear Science and Applications 1 Advances in Differential Equations and Control Processes 1 Advances in Mathematical Physics 1 Carpathian Mathematical Publications 1 Journal of Function Spaces 1 Communications on Applied Mathematics and Computation all top 5 Cited in 13 Fields 54 Partial differential equations (35-XX) 11 Numerical analysis (65-XX) 11 Mechanics of deformable solids (74-XX) 8 Ordinary differential equations (34-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Citations by Year